2008•Unpublished venueRequires access
On bi-Γ-Ideal in Γ-Semirings
J. P. Kaushik, M Ohammad N Aeem Khan
Open publisher page 2 citations
Abstract
The notion of Γ-semiring was introduced by M. Murali Krishna Rao [5] as a generalization of Γ-ring as well as of semiring. We have known that Γ-semirings are a generalization of semirings. In this paper the notion of bi-Γ-ideals in Γ-semirings is introduced. We show that bi-Γideals in Γ-semirings are a generalization of bi-ideals in semirings and we give some properties for bi-Γ-ideals in Γ-semirings. We give two definition as follows: A Γ-semiring M is called a bi-simple Γ-semiring if M is the unique bi-Γ-ideal of M and a bi-Γ-ideal B of M is called minimal bi-Γ-ideal of M if B does not property contain any bi-Γ-ideal of M . Mathematics Subject Classification: 16Y30, 16Y99